%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : MGT094+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : run_E %s %d THM
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 8 06:24:13 AM UTC 2026
% Result : Theorem 0.13s 0.42s
% Output : Proof 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 20 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 57 ( 27 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 50 ( 15 ~; 24 |; 0 &)
% ( 8 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of FOOLs : 2 ( 2 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-6 aty)
% Number of variables : 68 ( 60 !; 0 ?; 68 :)
% Comments :
%------------------------------------------------------------------------------
tff(conflict_type,type,
conflict: $i ).
tff(subs_verdict_type,type,
subs_verdict: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(present_type,type,
present: $i ).
tff(v600_type,type,
v600: $i ).
tff(v0_type,type,
v0: $i ).
tff(v800_type,type,
v800: $i ).
tff(axis_subsumes_type,type,
axis_subsumes: ( $i * $i * $i * $i ) > $o ).
tff(1,plain,
( ( subs_verdict(v0,v800,present,v0,v600,present) != conflict )
<=> ( subs_verdict(v0,v800,present,v0,v600,present) != conflict ) ),
inference(rewrite,[status(thm)],[]) ).
tff(2,axiom,
subs_verdict(v0,v800,present,v0,v600,present) != conflict,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',odrl653) ).
tff(3,plain,
subs_verdict(v0,v800,present,v0,v600,present) != conflict,
inference(modus_ponens,[status(thm)],[2,1]) ).
tff(4,plain,
( ~ axis_subsumes(v0,v800,v0,v600)
<=> ~ axis_subsumes(v0,v800,v0,v600) ),
inference(rewrite,[status(thm)],[]) ).
tff(5,axiom,
~ axis_subsumes(v0,v800,v0,v600),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_subs_hint) ).
tff(6,plain,
~ axis_subsumes(v0,v800,v0,v600),
inference(modus_ponens,[status(thm)],[5,4]) ).
tff(7,plain,
^ [L1: $i,H1: $i,L2: $i,H2: $i] :
refl(( ( axis_subsumes(L1,H1,L2,H2)
| ( subs_verdict(L1,H1,present,L2,H2,present) = conflict ) )
<=> ( axis_subsumes(L1,H1,L2,H2)
| ( subs_verdict(L1,H1,present,L2,H2,present) = conflict ) ) )),
inference(bind,[status(th)],[]) ).
tff(8,plain,
( ! [L1: $i,H1: $i,L2: $i,H2: $i] :
( axis_subsumes(L1,H1,L2,H2)
| ( subs_verdict(L1,H1,present,L2,H2,present) = conflict ) )
<=> ! [L1: $i,H1: $i,L2: $i,H2: $i] :
( axis_subsumes(L1,H1,L2,H2)
| ( subs_verdict(L1,H1,present,L2,H2,present) = conflict ) ) ),
inference(quant_intro,[status(thm)],[7]) ).
tff(9,plain,
( ! [L1: $i,H1: $i,L2: $i,H2: $i] :
( axis_subsumes(L1,H1,L2,H2)
| ( subs_verdict(L1,H1,present,L2,H2,present) = conflict ) )
<=> ! [L1: $i,H1: $i,L2: $i,H2: $i] :
( axis_subsumes(L1,H1,L2,H2)
| ( subs_verdict(L1,H1,present,L2,H2,present) = conflict ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(10,plain,
^ [L1: $i,H1: $i,L2: $i,H2: $i] :
rewrite(( ( ~ axis_subsumes(L1,H1,L2,H2)
=> ( subs_verdict(L1,H1,present,L2,H2,present) = conflict ) )
<=> ( axis_subsumes(L1,H1,L2,H2)
| ( subs_verdict(L1,H1,present,L2,H2,present) = conflict ) ) )),
inference(bind,[status(th)],[]) ).
tff(11,plain,
( ! [L1: $i,H1: $i,L2: $i,H2: $i] :
( ~ axis_subsumes(L1,H1,L2,H2)
=> ( subs_verdict(L1,H1,present,L2,H2,present) = conflict ) )
<=> ! [L1: $i,H1: $i,L2: $i,H2: $i] :
( axis_subsumes(L1,H1,L2,H2)
| ( subs_verdict(L1,H1,present,L2,H2,present) = conflict ) ) ),
inference(quant_intro,[status(thm)],[10]) ).
tff(12,axiom,
! [L1: $i,H1: $i,L2: $i,H2: $i] :
( ~ axis_subsumes(L1,H1,L2,H2)
=> ( subs_verdict(L1,H1,present,L2,H2,present) = conflict ) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+7.ax',subs_present_no) ).
tff(13,plain,
! [L1: $i,H1: $i,L2: $i,H2: $i] :
( axis_subsumes(L1,H1,L2,H2)
| ( subs_verdict(L1,H1,present,L2,H2,present) = conflict ) ),
inference(modus_ponens,[status(thm)],[12,11]) ).
tff(14,plain,
! [L1: $i,H1: $i,L2: $i,H2: $i] :
( axis_subsumes(L1,H1,L2,H2)
| ( subs_verdict(L1,H1,present,L2,H2,present) = conflict ) ),
inference(modus_ponens,[status(thm)],[13,9]) ).
tff(15,plain,
! [L1: $i,H1: $i,L2: $i,H2: $i] :
( axis_subsumes(L1,H1,L2,H2)
| ( subs_verdict(L1,H1,present,L2,H2,present) = conflict ) ),
inference(skolemize,[status(sab)],[14]) ).
tff(16,plain,
! [L1: $i,H1: $i,L2: $i,H2: $i] :
( axis_subsumes(L1,H1,L2,H2)
| ( subs_verdict(L1,H1,present,L2,H2,present) = conflict ) ),
inference(modus_ponens,[status(thm)],[15,8]) ).
tff(17,plain,
( ( ~ ! [L1: $i,H1: $i,L2: $i,H2: $i] :
( axis_subsumes(L1,H1,L2,H2)
| ( subs_verdict(L1,H1,present,L2,H2,present) = conflict ) )
| axis_subsumes(v0,v800,v0,v600)
| ( subs_verdict(v0,v800,present,v0,v600,present) = conflict ) )
<=> ( ~ ! [L1: $i,H1: $i,L2: $i,H2: $i] :
( axis_subsumes(L1,H1,L2,H2)
| ( subs_verdict(L1,H1,present,L2,H2,present) = conflict ) )
| axis_subsumes(v0,v800,v0,v600)
| ( subs_verdict(v0,v800,present,v0,v600,present) = conflict ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(18,plain,
( ~ ! [L1: $i,H1: $i,L2: $i,H2: $i] :
( axis_subsumes(L1,H1,L2,H2)
| ( subs_verdict(L1,H1,present,L2,H2,present) = conflict ) )
| axis_subsumes(v0,v800,v0,v600)
| ( subs_verdict(v0,v800,present,v0,v600,present) = conflict ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(19,plain,
( ~ ! [L1: $i,H1: $i,L2: $i,H2: $i] :
( axis_subsumes(L1,H1,L2,H2)
| ( subs_verdict(L1,H1,present,L2,H2,present) = conflict ) )
| axis_subsumes(v0,v800,v0,v600)
| ( subs_verdict(v0,v800,present,v0,v600,present) = conflict ) ),
inference(modus_ponens,[status(thm)],[18,17]) ).
tff(20,plain,
$false,
inference(unit_resolution,[status(thm)],[19,16,6,3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT094+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.02 % Command : run_E %s %d THM
% 0.07/0.34 % Computer : n015.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Mon Sep 7 14:28:49 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.13/0.42 % SZS status Theorem
% 0.13/0.42 % SZS output start Proof
% See solution above
% 0.13/0.42 % E exiting
%------------------------------------------------------------------------------